GCD of 119, 991, 914, 478 Calculator

Given Input numbers are 119, 991, 914, 478

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 119, 991, 914, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 991, 914, 478 is 1.

Therefore, GCD of numbers 119, 991, 914, 478 is 1

Given Input Data is 119, 991, 914, 478

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 119 is 7 x 17

Prime Factorization of 991 is 991

Prime Factorization of 914 is 2 x 457

Prime Factorization of 478 is 2 x 239

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(119, 991) = 117929

GCD(119, 991) = ( 119 x 991 ) / 117929

GCD(119, 991) = 117929 / 117929

GCD(119, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 119, 991, 914, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 910, 337, 769
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• GCD of 311, 456, 241, 567
• GCD of 836, 346, 118, 558

1. What is the GCD of 119, 991, 914, 478?

GCD of 119, 991, 914, 478 is 1

2. Where do I get the detailed procedure to find GCD of 119, 991, 914, 478?

You can find a detailed procedure to find GCD of 119, 991, 914, 478 on our page.

3. How to find GCD of 119, 991, 914, 478 on a calculator?

You can find the GCD of 119, 991, 914, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.